Euler Maclaurin with remainder for a simple integral polytope
组合数学
2007-05-23 v2 辛几何
摘要
We give an Euler Maclaurin formula with remainder for the sum of the values of a smooth function on the integral points in a simple integral polytope. This formula is proved by elementary methods.
引用
@article{arxiv.math/0307125,
title = {Euler Maclaurin with remainder for a simple integral polytope},
author = {Yael Karshon and Shlomo Sternberg and Jonathan Weitsman},
journal= {arXiv preprint arXiv:math/0307125},
year = {2007}
}
备注
25 pages. Also see our previous paper in Proc. Nat. Acad. Sci. 100 no. 2 (2003), 426-433. Revision: added Euler Maclaurin formulas for symbols and for polynomials